Ayako Carter

Numerade Educator

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Educator Statistics

Numerade tutor for 7 years
83 Students Helped

Topics Covered

Applications of Integration: Exploring Real-World Solutions
Breaking Limits: Unlock Your Potential with Our Expert Solutions
Unlock the Power of Sequences: Boost Your Productivity
Discover the Best Series to Binge-Watch | Your Ultimate Guide
Series Tests

Ayako's Textbook Answer Videos

17:20
Calculus: Early Transcendentals

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve $ y = ax^2 $ about the y-axis. If the dish is to have a 10-ft diameter and a maximum depth of 2 ft, find the value of $ a $ and the surface area of the dish.

Chapter 8: Further Applications of Integration
Section 2: Area of a Surface of Revolution
Ayako Carter
06:59
Thomas Calculus

In Exercises $1-6,$ find a formula for the $n$ th partial sum of each series
and use it to find the series' sum if the series converges.
$$\frac{9}{100}+\frac{9}{100^{2}}+\frac{9}{100^{3}}+\dots+\frac{9}{100^{n}}+\cdots$$

Chapter 10: Infinite Sequences and Series
Section 2: Infinite Series
Ayako Carter
04:09
Thomas Calculus

In Exercises $1-6,$ find a formula for the $n$ th partial sum of each series
and use it to find the series' sum if the series converges.
$$1-2+4-8+\cdots+(-1)^{n-1} 2^{n-1}+\cdots$$

Chapter 10: Infinite Sequences and Series
Section 2: Infinite Series
Ayako Carter
07:52
Thomas Calculus

In Exercises $1-6,$ find a formula for the $n$ th partial sum of each series
and use it to find the series' sum if the series converges.
$$\frac{5}{1 \cdot 2}+\frac{5}{2 \cdot 3}+\frac{5}{3 \cdot 4}+\dots+\frac{5}{n(n+1)}+\cdots$$

Chapter 10: Infinite Sequences and Series
Section 2: Infinite Series
Ayako Carter
04:31
Thomas Calculus

In Exercises $7-14,$ write out the first eight terms of each series to
show how the series starts. Then find the sum of the series or show
that it diverges.
$$\sum_{n=2}^{\infty} \frac{1}{4^{n}}$$

Chapter 10: Infinite Sequences and Series
Section 2: Infinite Series
Ayako Carter
04:28
Thomas Calculus

In Exercises $7-14,$ write out the first eight terms of each series to
show how the series starts. Then find the sum of the series or show
that it diverges.
$$\sum_{n=0}^{\infty}(-1)^{n} \frac{5}{4^{n}}$$

Chapter 10: Infinite Sequences and Series
Section 2: Infinite Series
Ayako Carter
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